Exceptional Lie groups

Häftad, Engelska, 2025

Av Ichiro Yokota, Takao Imai, Tetsuo Ishihara, Kazuyuki Mitsuishi, Takashi Miyasaka, Toshikazu Miyashita, Akihiro Nishio, Osamu Shukuzawa, Osami Yasukura

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This book provides a concrete description of the identity connected components of the real and complex exceptional Lie groups. These simple Lie algebras and the corresponding compact simple Lie groups arise in many settings in mathematics and physics.

Produktinformation

Utgivningsdatum2025-05-30
Mått155 x 235 x 15 mm
Vikt417 g
FormatHäftad
SpråkEngelska
SerieLecture Notes in Mathematics
Antal sidor252
FörlagSpringer International Publishing AG
ISBN9783031889103

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Matematik inom Naturvetenskap och teknik

Ichiro Yokota was awarded a Doctor of Science degree (Topology of classical Lie groups) from Osaka University in 1959. He was an Assistant, Lecturer and then Associate Professor at Osaka City University (1950–1966), Professor at Shinshu University (1966–1990) and Visiting Professor at Tamkang University (1976–1977). In 1990, he became a Professor Emeritus at Shinshu University. With O. Shukuzawa, he realized the non-compact connected and compact simply connected exceptional Lie groups of type E6 (1979–1980), improving on H. Freudenthal’s constructions. His publications include the book "Groups and Topology” (Shokabo, 1971) on cellular decompositions of classical Lie groups. Professor Yokota died on November 10th, 2017. The editors of this book have been disciples of the late Professor since 1976. In his words, “Our motivation is to study everything related to exceptional Lie groups”.